CONVERSE OF THE PYTHAGOREAN THEOREM. PYTHAGOREAN TRIPLES Values that work as whole numbers in the Pythagorean Theorem Primitive Triples will not reduce.

Slides:

Advertisements

Similar presentations

7.2 Converse of Pythagorean Theorem

Advertisements

Keystone Geometry 1 The Pythagorean Theorem. Used to solve for the missing piece of a right triangle. Only works for a right triangle. Given any right.

EQ: How can we use the Pythagoren Theorem and Triangle Inequalities to identify a triangle?

The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.

1 9.1 and 9.2 The Pythagorean Theorem. 2 A B C Given any right triangle, A 2 + B 2 = C 2.

Geometry 1 The Pythagorean Theorem. 2 A B C Given any right triangle, A 2 + B 2 = C 2.

8-1 The Pythagorean Theorem and Its Converse. Parts of a Right Triangle In a right triangle, the side opposite the right angle is called the hypotenuse.

CHAPTER 8 RIGHT TRIANGLES

8.1 Pythagorean Theorem and Its Converse

The Converse of the Pythagorean Theorem 9-3

Chapter 7.1 & 7.2 Notes: The Pythagorean Theorem and its Converse

Pythagorean Theorem 5.4. Learn the Pythagorean Theorem. Define Pythagorean triple. Learn the Pythagorean Inequality. Solve problems with the Pythagorean.

Pythagorean Theorem and It’s Converse

8.1 The Pythagorean Theorem and Its Converse. Pythagorean Theorem In a right triangle, the sum of the squares of the lengths of the legs is equal to the.

Jim Smith JCHS Section 7-2 spi.3.2.N

Pythagorean Theorem And Its Converse

7.1 – Apply the Pythagorean Theorem. Pythagorean Theorem: leg hypotenuse a b c c 2 = a 2 + b 2 (hypotenuse) 2 = (leg) 2 + (leg) 2 If a triangle is a right.

Over Lesson 8–1 5-Minute Check 1 Find the geometric mean between 9 and 13. A.2 B.4 C. D.

9.3 Converse of a Pythagorean Theorem Classifying Triangles by their sides.

Goal 1: To use the Pythagorean Theorem Goal 2: To use the Converse of the Pythagorean Theorem.

Geometry Section 9.3 Pythagorean Theorem Converse.

Lesson 7-2: Pythagorean Theorem. Pythagorean Theorem In a ________ ________, the sum of the squares of the ______ of a right triangle will equal the square.

12/24/2015 Geometry Section 9.3 The Converse of the Pythagorean Theorem.

Lesson 7-2: Pythagorean Theorem. Pythagorean Theorem In a ________ ________, the sum of the squares of the ______ of a right triangle will equal the square.

3.4 Is It A Right Triangle? Pg. 13 Pythagorean Theorem Converse and Distance.

Converse of Pythagorean Theorem

3/11-3/ The Pythagorean Theorem. Learning Target I can use the Pythagorean Theorem to find missing sides of right triangles.

Section 8-3 The Converse of the Pythagorean Theorem.

Altitude-on-hypotenuse. Find the value of x x 4√3 10 x = 4√3 4√3 x + 10 x x = 163 x x – 48 = 0 (x – 4)(x + 12) = 0 x = 4 x = -12.

Objectives Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles.

QOD. Pythagorean Theorem Pythagorean triple Pythagorean triple – a set of nonzero whole numbers a, b, and c that satisfy the equation 3,4,5 5,12,13 8,15,17.

Sec. 8-1 The Pythagorean Theorem and its Converse.

Lesson 8-3 The Converse of the Pythagorean Theorem (page 295) Essential Question How can you apply right triangle facts to solve real life problems?

Lesson 8-3 The Converse of the Pythagorean Theorem (page 295) Essential Question How can you determine whether a triangle is acute, right, or obtuse?

Objective: To use the Pythagorean Theorem to solve real world problems. Class Notes Sec 9.2 & a b c a short leg b long leg c hypotenuse 2. Pythagorean.

9.1 Pythagorean Theorem. Example 1: Using the Pythagorean Theorem Find the value of x. Then tell whether the side lengths form a Pythagorean Triple.

Converse of the Pythagorean Theorem

Introduction to Chapter 4: Pythagorean Theorem and Its Converse

Warm Up Simplify the square roots

8.1 Pythagorean Theorem and Its Converse

8-1 Pythagorean Theorem and the Converse

8-1: The Pythagorean Theorem and its Converse

Pythagorean Theorem and it’s Converse

9.3 Converse of a Pythagorean Theorem

Warm-up: Get everything out of your folders!

Rules of Pythagoras All Triangles:

Bellringer/Challenge Problem

7.2 Use the Converse of the Pythagorean Theorem

The Converse of the Pythagorean Theorem

LT 5.7: Apply Pythagorean Theorem and its Converse

4.5 The Converse of the Pythagorean Theorem

Section 7.2 Pythagorean Theorem and its Converse Objective: Students will be able to use the Pythagorean Theorem and its Converse. Warm up Theorem 7-4.

Bellringer Simplify each expression 5 ∙ ∙ 8.

Pythagorean Theorem and Its Converse

8.1 The Pythagorean Theorem and Its Converse

Notes Over Pythagorean Theorem

9.1 Pythagorean Theorem.

8.2 The Pythagorean Theorem & Its Converse

The Pythagorean Theorem

8-2 The Pythagorean Theorem and Its Converse

8.1 Pythagorean Theorem and Its Converse

Theorems Relating to the Pythagorean Theorem

7-1 and 7-2: Apply the Pythagorean Theorem

8.1 Pythagorean Theorem and Its Converse

8.1 Pythagorean Theorem & Its Converse In a right triangle, the square of the hypotenuse is equal to the sum of the squares of both legs. c a b.

CONVERSE of the Pythagorean Theorem If a2 + b2 = c2, then the

(The Converse of The Pythagorean Theorem)

Converse to the Pythagorean Theorem

7-2 PYTHAGOREAN THEOREM AND ITS CONVERSE

Presentation transcript:

CONVERSE OF THE PYTHAGOREAN THEOREM

PYTHAGOREAN TRIPLES Values that work as whole numbers in the Pythagorean Theorem Primitive Triples will not reduce 3, 4, 5 5, 12, 13 8, 15, 17 7, 24, 25 All multiples of these are also triples, 6, 8, 10 etc…

DETERMINING IF A TRIANGLES IS ACUTE, RIGHT, OR OBTUSE If c 2 > a 2 + b 2, the triangle is obtuse. If c 2 = a 2 + b 2, the triangle is right. If c 2 < a 2 + b 2, the triangle is acute. Remember a + b > c, or it is not a triangle.

DETERMINE WHETHER EACH OF THE FOLLOWING IS A TRIANGLE. IF SO, TELL WHETHER IT IS ACUTE, RIGHT OR OBTUSE. 7, 8, 9 5, 12, 13 8, 11, 19 8, 15, 22

DETERMINE WHETHER EACH OF THE FOLLOWING IS A TRIANGLE. IF SO, TELL WHETHER IT IS ACUTE, RIGHT OR OBTUSE. 7, 24, 25 10, 11, 14 10, 15, 25 17, 20, 40 10, 17, 26 12, 15, 20